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Finding the Fourth Proportional to 1,033.02, 1,549.44 and 302.49

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Solution

The fourth proportional to 1,033.02, 1,549.44 and 302.49 is: 453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.02 : 1,549.44 = 302.49 : x
  2. Step 2: Convert to fraction form
    1,033.02/1,549.44 = 302.49/x
  3. Step 3: Cross multiply
    1,033.02x = 1,549.44 × 302.49
  4. Step 4: Simplify right side
    1,033.02x = 468,690.11
  5. Step 5: Solve for x
    x = 468,690.11/1,033.02
  6. Step 6: Final answer
    x = 453.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.